PM  >> Vol. 2 No. 4 (October 2012)

    环F2+vF2上的自对偶置换码
    Self-Dual Permutation Codes over F2+vF2

  • 全文下载: PDF(233KB) HTML    PP.243-248   DOI: 10.12677/PM.2012.24037  
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作者:  

张光辉:洛阳师范学院数学科学学院

关键词:
F2+vF2 自对偶置换码Gray映射F2+vF2 ; Self-Dual Permutation Code; Gray Map

摘要:

利用Gray映射,研究了环F2+vF2上的自对偶置换码,把环F2+vF2上自对偶置换码的研究归结到二元域上自对偶置换码的研究。依据群论条件,给出了环F2+vF2上自对偶置换码存在的一个充要条件和一个充分条件。

Self-dual permutation codes over  F2+vF2are studied in this paper. The relationship of the existence of self-dual permutation codes over  F2+vF2and the existence of self-dual permutation codes over the binary field  F2 are obtained. Finally, a necessary and sufficient condition and a sufficient condition for the existence of self-dual permutation codes over  F2+vF2are given under some group theoretical conditions.

文章引用:
张光辉. 环F2+vF2上的自对偶置换码[J]. 理论数学, 2012, 2(4): 243-248. http://dx.doi.org/10.12677/PM.2012.24037

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